McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
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Exercise 17 Page 664

Substitute the given value of the area of the square into the given function.

About 9.5in

Practice makes perfect

We are given a function for calculating the side length of a square given the area of the square. s = sqrt(A) In this function, A represents the area of the square. Note that this is a square root function, which is a type of radical function. To find the side length of a square with an area of 90 square inches, we can substitute A= 90 into this function.

s = sqrt(A)
s = sqrt(90)
s = 9.486832...
s ≈ 9.5

Therefore, the side length is about 9.5 inches.

Alternative Solution

Using a Graphing Calculator
To calculate the side length of the square, we can also graph the given function using a graphing calculator. To do so, we push the Y= button and type the function in the first row. Note that in a graphing calculator, we should replace A with X.

Now we can push GRAPH to draw the function.

Because we cannot see the value of the function for X= 90, we need to change the size of our viewing window by pushing the WINDOW button.

Finally, we can find the value of the function. To do so, we need to push 2nd. Then, we push the TRACE button and choose the value option.

When using the value feature, we are prompted to type the value of X. In our case, X= 90.

The value of the function for X= 90 is about 9.5. Therefore, the side length of the square is about 9.5 inches.